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Finding the Third Proportional to 62,411,562 and 82,835,433

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Solution

The third proportional to 62,411,562 and 82,835,433 is: 109,942,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,411,562 : 82,835,433 = 82,835,433 : x
  2. Step 2: Convert to fraction form
    62,411,562/82,835,433 = 82,835,433/x
  3. Step 3: Cross multiply
    62,411,562x = 82,835,433 × 82,835,433
  4. Step 4: Simplify right side
    62,411,562x = 6,861,708,960,297,489
  5. Step 5: Solve for x
    x = 6,861,708,960,297,489/62,411,562
  6. Step 6: Final answer
    x = 109,942,913.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.